Graph this line using intercepts:

Question

x–3y=–9
Click to select points on the graph.

Answer 1

The x-intercept is found by setting y = 0 and solving for x:
x - 3(0) = -9
x = -9

So the x-intercept is at (-9, 0).

The y-intercept is found by setting x = 0 and solving for y:
0 - 3y = -9
-3y = -9
y = 3

So the y-intercept is at (0, 3).

Plotting these points on the graph and drawing the line through them, we get:

graph{ x/3+3 }